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1211201100120 = 2335116713695173
BaseRepresentation
bin10001101000000001001…
…101100001100101011000
311021210022200112221201110
4101220001031201211120
5124321014440200440
62324230151020320
7153335456324424
oct21500115414530
94253280487643
101211201100120
11427738499430
121768a496a6a0
138a2a60932bb
144289ddc5b84
152178d250080
hex11a01361958

1211201100120 has 128 divisors (see below), whose sum is σ = 4023094314240. Its totient is φ = 289242032640.

The previous prime is 1211201100107. The next prime is 1211201100121. The reversal of 1211201100120 is 210011021121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1211201100096 and 1211201100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211201100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6759147 + ... + 6936026.

It is an arithmetic number, because the mean of its divisors is an integer number (31430424330).

Almost surely, 21211201100120 is an apocalyptic number.

1211201100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211201100120 is an abundant number, since it is smaller than the sum of its proper divisors (2811893214120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1211201100120 is a wasteful number, since it uses less digits than its factorization.

1211201100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13695265 (or 13695261 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1211201100120 its reverse (210011021121), we get a palindrome (1421212121241).

The spelling of 1211201100120 in words is "one trillion, two hundred eleven billion, two hundred one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 804 1005 1320 1340 1474 1608 2010 2211 2680 2948 3685 4020 4422 5896 7370 8040 8844 11055 14740 17688 22110 29480 44220 88440 13695173 27390346 41085519 54780692 68475865 82171038 109561384 136951730 150646903 164342076 205427595 273903460 301293806 328684152 410855190 451940709 547806920 602587612 753234515 821710380 903881418 917576591 1205175224 1506469030 1643420760 1807762836 1835153182 2259703545 2752729773 3012938060 3615525672 3670306364 4519407090 4587882955 5505459546 6025876120 7340612728 9038814180 9175765910 10093342501 11010919092 13763648865 18077628360 18351531820 20186685002 22021838184 27527297730 30280027503 36703063640 40373370004 50466712505 55054595460 60560055006 80746740008 100933425010 110109190920 121120110012 151400137515 201866850020 242240220024 302800275030 403733700040 605600550060 1211201100120